Complex random surfaces
Jun 18, 19905 pages
Published in:
- Phys.Lett.B 254 (1991) 89-93
- Published: 1991
Report number:
- NSF-ITP-90-103,
- MCGILL-90-32
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Abstract: (Elsevier)
Several infinite sets of models of random surfaces, defined by means of integrals over matrix ensembles, are solved in a double-scaling limit. These models are exactly soluble in at least two distinct large N limits. The triangulated surfaces are complicated due to the existence of two distinct kinds of vertices in the triangulations. In one limit, the matrices possess a finite and fixed number of degrees of freedom as N becomes large-nevertheless, these models possess a nontrivial double-scaling limit. A special case of the other limit is known to describe two-dimensional quantum gravity.- statistical mechanics
- matrix model
- random surface
- scaling
- expansion 1/N
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